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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 222 · 40 questions
TalentJR

The method (Length and relative speed): Change km/h to m/s (× 5/18) when lengths are in metres and time in seconds. Pole: time = train length ÷ speed. Platform: (train + platform) ÷ speed. Towards each other: add the speeds; same direction: take them away. Cover both lengths. Downstream = boat + stream; upstream = boat − stream. Boat = (down + up) ÷ 2; stream = (down − up) ÷ 2.

NameDateTime takenScore ___ / 40
  1. 1.A boat goes 72 km downstream in 4 hours and 40 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  2. 2.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 600 m long?
  3. 3.A boat goes 105 km downstream in 5 hours and 95 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  4. 4.A boat goes 95 km downstream in 5 hours and 85 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  5. 5.A boat goes at 8 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 55 km upstream and come back?
  6. 6.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  7. 7.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  8. 8.A boat goes 63 km downstream in 3 hours and 57 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  9. 9.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  10. 10.A boat goes 16 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  11. 11.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  12. 12.Two trains, 190 m and 80 m long, run towards each other on side-by-side tracks at 36 km/h and 72 km/h. How many seconds do they take to cross each other?
  13. 13.A boat goes 92 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  14. 14.A train 420 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  15. 15.Two trains, 80 m and 130 m long, run towards each other on side-by-side tracks at 72 km/h and 54 km/h. How many seconds do they take to cross each other?
  16. 16.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  17. 17.A train 190 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  18. 18.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  19. 19.A boat goes at 5 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 105 km upstream and come back?
  20. 20.Two trains, 110 m and 330 m long, run towards each other on side-by-side tracks at 72 km/h and 72 km/h. How many seconds do they take to cross each other?
  21. 21.A boat goes 48 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  22. 22.A boat goes at 20 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 105 km upstream and come back?
  23. 23.A train running at 36 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  24. 24.Two trains, 140 m and 160 m long, run towards each other on side-by-side tracks at 36 km/h and 54 km/h. How many seconds do they take to cross each other?
  25. 25.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  26. 26.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  27. 27.Two trains, 200 m and 115 m long, run towards each other on side-by-side tracks at 90 km/h and 36 km/h. How many seconds do they take to cross each other?
  28. 28.Two trains, 210 m and 90 m long, run towards each other on side-by-side tracks at 36 km/h and 54 km/h. How many seconds do they take to cross each other?
  29. 29.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  30. 30.Two trains, 90 m and 135 m long, run towards each other on side-by-side tracks at 72 km/h and 90 km/h. How many seconds do they take to cross each other?
  31. 31.A train running at 36 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  32. 32.A boat goes at 15 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 72 km upstream and come back?
  33. 33.A boat goes at 15 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 25 km upstream and come back?
  34. 34.Two trains, 220 m and 230 m long, run towards each other on side-by-side tracks at 90 km/h and 72 km/h. How many seconds do they take to cross each other?
  35. 35.A boat goes 95 km downstream in 5 hours and 85 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  36. 36.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  37. 37.A boat goes at 13 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 75 km upstream and come back?
  38. 38.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  39. 39.A boat goes 34 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  40. 40.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?

Answer key

  1. 4
  2. 31
  3. 20
  4. 1
  5. 16
  6. 28
  7. 26
  8. 1
  9. 17
  10. 6
  11. 11
  12. 9
  13. 4
  14. 28
  15. 6
  16. 30
  17. 19
  18. 9
  19. 50
  20. 11
  21. 4
  22. 24
  23. 260
  24. 12
  25. 17
  26. 24
  27. 9
  28. 12
  29. 32
  30. 5
  31. 280
  32. 10
  33. 6
  34. 10
  35. 18
  36. 14
  37. 78
  38. 29
  39. 2
  40. 21

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